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Finding the Fourth Proportional to 15,634, 21,576.98 and 8,918.09

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Solution

The fourth proportional to 15,634, 21,576.98 and 8,918.09 is: 12,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634 : 21,576.98 = 8,918.09 : x
  2. Step 2: Convert to fraction form
    15,634/21,576.98 = 8,918.09/x
  3. Step 3: Cross multiply
    15,634x = 21,576.98 × 8,918.09
  4. Step 4: Simplify right side
    15,634x = 192,425,449.57
  5. Step 5: Solve for x
    x = 192,425,449.57/15,634
  6. Step 6: Final answer
    x = 12,308.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.